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GCD of 310, 770, 147, 704 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 310, 770, 147, 704 quickly. Get the easiest ways to solve the greatest common divisor of 310, 770, 147, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 310, 770, 147, 704 with Factoring?

Given Input numbers are 310, 770, 147, 704

In the factoring method, we have to find the divisors of all numbers

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (310, 770, 147, 704) = 1.

Find GCD of 310, 770, 147, 704 using Prime Factorization

Given numbers are 310, 770, 147, 704

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 147 are 3 x 7 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 310, 770, 147, 704 using LCM Formula

Given numbers are 310, 770, 147, 704

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(310, 770) = 23870

GCD(310, 770) = ( 310 x 770 ) / 23870

= 310 / 770

= 310


Step2:

LCM(10, 147) = 1470

GCD(10, 147) = ( 10 x 147 ) / 1470

= 10 / 147

= 10


Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 310, 770, 147, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 310, 770, 147, 704

Given numbers are 310, 770, 147, 704
The greatest common divisor of numbers 310, 770, 147, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 770, 147, 704 is 1.

FAQs on GCD of 310, 770, 147, 704 Calculator

1. What is the GCD of 310, 770, 147, 704?

GCD of given numbers 310, 770, 147, 704 is 1


2. How to calculate the greatest common divisor of 310, 770, 147, 704?

We can find the highest common divisor of 310, 770, 147, 704 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 310, 770, 147, 704 i.e 1.


3. How can I use the GCD of 310, 770, 147, 704Calculator?

Out the numbers 310, 770, 147, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.